15.9 cm wide 8.9 long 5 cm tall 16.7 cm wide triangle side
A wooden door stopper needs to be covered with stickers to match the door for a directing contest. If
one package of stickers covers a surface area of 75 square centimeters, how many packages of
stickers need to be purchased? (Find the closest number to the surface area of the door stopper.
Stickers may only be purchase in whole packs.)
(1 point)
You will need 5.5 packages of stickers.
You will need 6 packages of stickers.
You will need 414.14 cm packages of stickers. 2
You will need 7 packages of stickers.
To calculate the surface area of the door stopper, we need to find the area of the rectangular sides as well as the area of the triangular side.
Rectangular sides:
Width = 15.9 cm
Length = 8.9 cm
Height = 5 cm
Area = 2(15.9 cm x 5 cm) + 2(8.9 cm x 5 cm) = 159 + 89 = 248 square cm
Triangular side:
Base = 16.7 cm
Height (same as door stopper height) = 5 cm
Area = 0.5(16.7 cm x 5 cm) = 41.75 square cm
Total surface area = 248 square cm + 41.75 square cm = 289.75 square cm
Now, divide the total surface area by the area covered by one package of stickers:
289.75 square cm / 75 square cm = 3.863
Since you can only buy whole packs of stickers, you would need to purchase 4 packages of stickers to cover the surface area of the door stopper. So the closest answer is:
You will need 4 packages of stickers.
8.9 wide 15.9 cm long 5 cm tall 16.7 cm long triangle side
A wooden door stopper needs to be covered with stickers to match the door for a directing contest. If
one package of stickers covers a surface area of 75 square centimeters, how many packages of
stickers need to be purchased? (Find the closest number to the surface area of the door stopper.
Stickers may only be purchase in whole packs.)
(1 point)
You will need 5.5 packages of stickers.
You will need 6 packages of stickers.
You will need 414.14 cm packages of stickers. 2
You will need 7 packages of stickers.
To calculate the surface area of the door stopper, we need to find the area of the rectangular sides as well as the area of the triangular side.
Rectangular sides:
Width = 8.9 cm
Length = 15.9 cm
Height = 5 cm
Area = 2(8.9 cm x 5 cm) + 2(15.9 cm x 5 cm) = 89 + 159 = 248 square cm
Triangular side:
Base = 16.7 cm
Height (same as door stopper height) = 5 cm
Area = 0.5(16.7 cm x 5 cm) = 41.75 square cm
Total surface area = 248 square cm + 41.75 square cm = 289.75 square cm
Now, divide the total surface area by the area covered by one package of stickers:
289.75 square cm / 75 square cm = 3.863
Since you can only buy whole packs of stickers, you would need to purchase 4 packages of stickers to cover the surface area of the door stopper. So the closest answer is:
You will need 4 packages of stickers.
the options are
You will need 5.5 packages of stickers.
You will need 6 packages of stickers.
You will need 414.14 cm packages of stickers. 2
You will need 7 packages of stickers.
I apologize for the oversight. Let's calculate the correct answer to match the options provided.
The total surface area of the door stopper is 289.75 square cm.
Dividing this by the area covered by one package of stickers (75 square cm) gives:
289.75 / 75 = 3.8633
Since stickers must be purchased in whole packages, the closest whole number to 3.8633 is 4. Therefore, the closest answer to the number of packages of stickers needed would be:
You will need 4 packages of stickers.
This option is not provided in the list of choices, so the closest option would likely be rounded up to the next whole number:
You will need 5.5 packages of stickers.